State whether the sequence below is arithmetic, geometric or neither and then write the explicit...

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State whether the sequence below is arithmetic, geometric or neither and then write the explicit definition of the sequence. 3, 7, 11, 15...

Transcript of State whether the sequence below is arithmetic, geometric or neither and then write the explicit...

Page 1: State whether the sequence below is arithmetic, geometric or neither and then write the explicit definition of the sequence. 3, 7, 11, 15...

State whether the sequence below is arithmetic, geometric or neither and then write the explicit definition of the sequence.

3, 7, 11, 15...

Page 2: State whether the sequence below is arithmetic, geometric or neither and then write the explicit definition of the sequence. 3, 7, 11, 15...

•Arithmetic

•tn = 4n - 1

3, 7, 11, 15...

Page 3: State whether the sequence below is arithmetic, geometric or neither and then write the explicit definition of the sequence. 3, 7, 11, 15...

State whether the sequence below is arithmetic, geometric or neither and then write the explicit definition of the sequence.

3, 6, 11, 18 ...

Page 4: State whether the sequence below is arithmetic, geometric or neither and then write the explicit definition of the sequence. 3, 7, 11, 15...

•Neither

3, 6, 11, 18...

(It’s exponential)

If you subtract 2 from each you have...

1, 4, 9, 16...

Therefore, tn = n²Therefore, tn = n²+2Therefore, tn = n²+2

1, 4, 9, 16...3, 6, 11, 18...

Page 5: State whether the sequence below is arithmetic, geometric or neither and then write the explicit definition of the sequence. 3, 7, 11, 15...

If t3 = 10 and t5 = 16 in an arithmetic sequence, what is t2?

Hint: Find what d equals.

Page 6: State whether the sequence below is arithmetic, geometric or neither and then write the explicit definition of the sequence. 3, 7, 11, 15...

If t3 = 10 and t5 = 16 in an arithmetic sequence, what is t2?

We could make t1 = 10 and t3 = 16 to find d?

tn = t1 + d(n - 1)

16 = 10 + d(3 - 1)

d = 3

Page 7: State whether the sequence below is arithmetic, geometric or neither and then write the explicit definition of the sequence. 3, 7, 11, 15...

If t3 = 10 and t5 = 16 in an arithmetic sequence, what is t2?

d = 3

__, __, 10, __, 16, ... __, __, 10, 13, 16, ... __, 7, 10, 13, 16, ... 4, 7, 10, 13, 16, ...

t2 =

4, 7, 10, 13, 16, ...

t2 = 7

Page 8: State whether the sequence below is arithmetic, geometric or neither and then write the explicit definition of the sequence. 3, 7, 11, 15...

Find the sum of the following infinite geometric series.

8 + 2 + ½+...

Page 9: State whether the sequence below is arithmetic, geometric or neither and then write the explicit definition of the sequence. 3, 7, 11, 15...

r = ¼

8 + 2 + ½+...

t1

1 - rS =

8

1 - ¼S =

S =323

or 102

3

Page 10: State whether the sequence below is arithmetic, geometric or neither and then write the explicit definition of the sequence. 3, 7, 11, 15...

Be sure to review limits and mathematical induction!!!


8.2 Arithmetic Sequences · 8.2 Arithmetic Sequences DEFINITION OF AN ARITHMETIC SEQUENCE An arithmetic sequence is a sequence of the form The number a is the first term and d is

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Arithmetic Sequence

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Calc2 - Saint Paul Public Schools€¦ · The seventh, third and first terms of an arithmetic sequence form the first three terms of a geometric sequence. The arithmetic sequence

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Math 1 - asd103.org...SET Recursive and explicit functions for arithmetic sequences Finding a general formula for arithmetic ...

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3%2D5 Arithmetic Sequences as Linear · PDF fileDetermine whether each sequence is an arithmetic sequence. Write yes or no. Explain. 18, 16, 15, 13, « 62/87,21 An arithmetic sequence

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©Evergreen Public Schools 2011 1 Learning Target Target 12 Level 3 I can write an arithmetic sequence in recursive form and translate between the explicit.

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Arithmetic Sequences (Recursive Formulas). Vocabulary sequence – a set of numbers in a specific order. terms – the numbers in the sequence. arithmetic.

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Arithmetic Sequence - MOORE'S MATH · 2019. 8. 9. · AFM Notes 4-1 Arithmetic Sequence 2 Example 2: Find the thirteenth term of the arithmetic sequence with € a 1 =21 and € d=−6.

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Explicit and Recursive Arithmetic Sequence Practice.gwb ...

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Functions and Arithmetic Sequence notes cw.notebook · Given the explicit formula for an arithmetic find the first five and the term in problan. find 9) a Find a 2, 8) = 65 — i

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Lesson 5.6 - Arithmetic Sequence